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Finding the Fourth Proportional to 1,232.94, 1,700.75 and 784.00

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Solution

The fourth proportional to 1,232.94, 1,700.75 and 784.00 is: 1,081.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.94 : 1,700.75 = 784.00 : x
  2. Step 2: Convert to fraction form
    1,232.94/1,700.75 = 784.00/x
  3. Step 3: Cross multiply
    1,232.94x = 1,700.75 × 784.00
  4. Step 4: Simplify right side
    1,232.94x = 1,333,378.11
  5. Step 5: Solve for x
    x = 1,333,378.11/1,232.94
  6. Step 6: Final answer
    x = 1,081.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.